License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
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DOI: 10.4230/LIPIcs.CSL.2015.41
URN: urn:nbn:de:0030-drops-54060
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5406/
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Bova, Simone ; Martin, Barnaby

First-Order Queries on Finite Abelian Groups

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Abstract

We study the computational problem of checking whether a logical sentence is true in a finite abelian group. We prove that model checking first-order sentences on finite abelian groups is fixed-parameter tractable, when parameterized by the size of the sentence. We also prove that model checking monadic second-order sentences on finite abelian groups finitely presented by integer matrices is not fixed-parameter tractable (under standard assumptions in parameterized complexity).

BibTeX - Entry

@InProceedings{bova_et_al:LIPIcs:2015:5406,
  author =	{Simone Bova and Barnaby Martin},
  title =	{{First-Order Queries on Finite Abelian Groups}},
  booktitle =	{24th EACSL Annual Conference on Computer Science Logic (CSL 2015)},
  pages =	{41--59},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-90-3},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{41},
  editor =	{Stephan Kreutzer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5406},
  URN =		{urn:nbn:de:0030-drops-54060},
  doi =		{10.4230/LIPIcs.CSL.2015.41},
  annote =	{Keywords: Finite Abelian Groups, First-Order Logic, Monadic Second-Order Logic}
}

Keywords: Finite Abelian Groups, First-Order Logic, Monadic Second-Order Logic
Collection: 24th EACSL Annual Conference on Computer Science Logic (CSL 2015)
Issue Date: 2015
Date of publication: 07.09.2015

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